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Finding the Fourth Proportional to 29,826.76, 44,729.08 and 8,761

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Solution

The fourth proportional to 29,826.76, 44,729.08 and 8,761 is: 13,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.76 : 44,729.08 = 8,761 : x
  2. Step 2: Convert to fraction form
    29,826.76/44,729.08 = 8,761/x
  3. Step 3: Cross multiply
    29,826.76x = 44,729.08 × 8,761
  4. Step 4: Simplify right side
    29,826.76x = 391,871,469.88
  5. Step 5: Solve for x
    x = 391,871,469.88/29,826.76
  6. Step 6: Final answer
    x = 13,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.